Jawaban:
a. x = -39
Penjelasan dengan langkah-langkah:
[tex]\begin{aligned} {9}^{2x + 9} &= {27}^{x - 7} \\ {( {3}^{2} )}^{2x + 9} &= {( {3}^{3}) }^{x - 7} \\ {3}^{4x + 18} &= {3}^{3x - 21} \\4x + 18&=3x - 21 \\ 4x + 18 \blue{ - 3x}&=3x - 21 \blue{ - 3x} \\ x + 18&= - 21 \\ x + 18 \blue{ - 18}&= - 21 \blue{ - 18} \\ x&= - 39\end{aligned}[/tex]
[tex]{9}^{2x + 9} = {27}^{x - 7} \\ {3}^{2(2x + 9)} = {3}^{3(x - 7)} \\ {3}^{4x + 18} = {3}^{3x - 21} \\ 4x + 18 = 3x - 21 \\ 4x - 3x = - 21 - 18 \\a. \: x = - 39[/tex]
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Verified answer
Jawaban:
a. x = -39
Penjelasan dengan langkah-langkah:
[tex]\begin{aligned} {9}^{2x + 9} &= {27}^{x - 7} \\ {( {3}^{2} )}^{2x + 9} &= {( {3}^{3}) }^{x - 7} \\ {3}^{4x + 18} &= {3}^{3x - 21} \\4x + 18&=3x - 21 \\ 4x + 18 \blue{ - 3x}&=3x - 21 \blue{ - 3x} \\ x + 18&= - 21 \\ x + 18 \blue{ - 18}&= - 21 \blue{ - 18} \\ x&= - 39\end{aligned}[/tex]
Penjelasan dengan langkah-langkah:
[tex]{9}^{2x + 9} = {27}^{x - 7} \\ {3}^{2(2x + 9)} = {3}^{3(x - 7)} \\ {3}^{4x + 18} = {3}^{3x - 21} \\ 4x + 18 = 3x - 21 \\ 4x - 3x = - 21 - 18 \\a. \: x = - 39[/tex]